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RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.8) Exercise 19.8

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Last updated date: 17th Apr 2024
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RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.8) Exercise 19.8 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals Exercise 19.8 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 19 - Indefinite Integrals Ex 19.8 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. 

About Vedantu Making It Easier

Do you face difficulties while solving calculus equations? Do the mathematical equations seem to be difficult to solve? Are you having trouble understanding the concept of indefinite integrals? Well, if these are the issues that you are facing on a daily basis, then Vedantu has the exact solution for you. The best reference books of RD Sharma Solutions for Class 12 are now available at the website of Vedantu. Nothing can be better than getting your hands on the reference books that include all the explanations and solved answers to help you in your preparation for the examination.


Definite and Indefinite Integrals

Understanding the concept of integrals and calculus can be difficult for beginners. But for those who want to pursue higher academic careers in mathematics, learning the concept is extremely important as it is one of the basic and foundation concepts of mathematics.


Definite Integrals

There are two types of integrals. One is known as a definite integral another is known as the indefinite integral. Integrals suggest the quantity of a particular area or volume that can be evaluated and interpreted with the help of numerical value.

Definite integrals have an upper and lower limit. The numerical value of the upper and lower limits will be constant in the case of a definite integral.


Indefinite Integrals

Indefinite integrals can also be associated with the concept of derivatives, which means solving equations of indefinite integrals is equivalent to reversing the process of differentiation of the numerical values. In this case, the upper and lower limit cannot be represented with a constant numerical value and solving the equations will help an individual to produce a result without having any constant numerical value and the answer may not be of a definite value.


In case you are having difficulties understanding the concept, you can access the free documents and study materials in PDF format on the Vedantu website. You will get to learn the step by step analysis of the integral equations.

FAQs on RD Sharma Class 12 Solutions Chapter 19 - Indefinite Integrals (Ex 19.8) Exercise 19.8

1. How can RD Sharma Solutions help the students learn the complicated concepts of mathematics?

The RD Sharma class 12 solutions can be the ultimate solutions for the students who are in search of proper guidance in solving the questions properly and want something to consult in order to verify and recheck their calculation process.


The RD Sharma solutions are considered the best solution books that the students can refer to while preparing for the examinations.

2. Do the RD Sharma Class 12 Solutions consist of a proper explanation of mathematical equations?

The students can refer to the RD Sharma Solutions without a moment's hesitation as the question papers are solved by experienced faculty members. The calculation process is properly explained in the books and they are absolutely error-free. The students will get to learn the complete equations and how to solve difficult questions in the most effective manner. Also, the chapters are designed in a way that will help the students to understand the intricacies of particular mathematical equations.

3. Who can consult RD Sharma Solutions?

The RD Sharma Class 12 Solutions Chapter 19  that deals with indefinite integrals are for all the students who are preparing to appear for the class 12 examinations. But the RD Sharma Solutions are not only for the students who are preparing for the class examinations but also will help those aspirants who want to pursue their higher academic career in mathematics and prepare for IIT or JEE Mains and Advanced examinations. The students who are preparing for various engineering entrance examinations can also consult the books.

4. Are the questions solved with proper explanations in the RD Sharma solutions?

The RD Sharma Solutions for class 12 can guide the students in the right way by providing them with a detailed overview of the most important concepts of mathematics and higher mathematics. The students will get to learn the calculation processes involved in solving the questions step by step. The complicated mathematical equations of class 12 are solved in a simple manner that is easy to understand and precise.

5. Is accessing the study materials at Vedantu easy?

The students can easily access all the study materials and documents provided by Vedantu on the website. The RD Sharma solutions from class 6 to class 12 are available on the Vedantu website and the students can access all the course materials in both online and offline mode. Considering the frequent issues with the internet, Vedantu has initiated offering the course materials to the students for offline mode as well. All they have to do is to download the documents and they can go through the course materials even when their internet connection is down. The study materials are available in PDF format so that it becomes easier for the students to download them.